Did Paulie actually betray Vito?

Could you elaborate on the events surrounding the alleged betrayal of Vito by Paulie? Was there a specific action or series of actions that led to this accusation? Did witnesses come forward with evidence or testimony to support this claim? Furthermore, how did Vito react to this alleged betrayal, and did he take any measures to confront or address the situation? Ultimately, is there enough evidence to definitively conclude that Paulie did, in fact, betray Vito?